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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 12, Iss. 9 — Sep. 1, 1995
  • pp: 1663–1670

Refractive-index profile reconstructions in planar waveguides by the WKB inverse method and reflectivity calculations

P. Mathey, P. Jullien, and J. L. Bolzinger  »View Author Affiliations


JOSA B, Vol. 12, Issue 9, pp. 1663-1670 (1995)
http://dx.doi.org/10.1364/JOSAB.12.001663


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Abstract

Two formalisms used in index profile reconstructions are compared. We develop a novel formulation of the WKB inverse method and show that this method is not sufficient to recover the entire index profile in ion-implanted waveguides. A reflectivity calculation involving a matrix formalism solves the problem. The index profile parameters are adjusted to fit experimental mode indices. With this formalism, the reconstruction of the entire index profile is achieved. An application is shown in a BaTiO3 sample.

© 1995 Optical Society of America

Citation
P. Mathey, P. Jullien, and J. L. Bolzinger, "Refractive-index profile reconstructions in planar waveguides by the WKB inverse method and reflectivity calculations," J. Opt. Soc. Am. B 12, 1663-1670 (1995)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-12-9-1663


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References

  1. B. Fischer and M. Segev, "Photorefractive waveguides and non-linear mode coupling effects," Appl. Phys. Lett. 54, 684–686 (1989). [CrossRef]
  2. M. Zha, D. Fluck, P. Günter, M. Fleuster, and Ch. Buchal, "Two-wave mixing in photorefractive ion-implanted KNbO3 planar waveguides at visible and near-infrared wavelengths," Opt. Lett. 8, 577–579 (1993). [CrossRef]
  3. K. E. Younden, S. W. James, R. W. Eason, P. J. Chandler, L. Zhang, and P. D. Townsend, "Photorefractive planar waveguides in BaTiO3 fabricated by ion-beam implantation," Opt. Lett. 17, 1509–1511 (1992). [CrossRef]
  4. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1991), Chap. 35, p. 676.
  5. J. M. White and P. F. Heidrich, "Optical waveguide refractive index profiles determined from measurement of mode indices: a simple analysis," Appl. Opt. 15, 151–155 (1976). [CrossRef] [PubMed]
  6. G. B. Hocker and W. K. Burns, "Modes in diffused optical waveguides of arbitrary index profile," IEEE J. Quantum Electron. QE-11, 270–276 (1975). [CrossRef]
  7. D. Sarid, "Recovery of the refractive-index profile of an optical waveguide from the measured coupling angles," Appl. Opt. 19, 1606–1608 (1980). [CrossRef] [PubMed]
  8. A. N. Kaul and K. Thyagarajan, "Inverse WKB method for refractive index profile estimation of monomode graded index planar optical waveguides," Opt. Commun. 48, 313–316 (1984). [CrossRef]
  9. J. Noda, M. Minakata, S. Saito, and N. Uchida, "Precise determination of refractive index and thickness in the Ti-diffused LiNbO3 waveguide," J. Opt. Soc. Am. 68, 1690–1693 (1978). [CrossRef]
  10. E. M. Conwell, "Modes in optical waveguides formed by diffusion," Appl. Phys. Lett. 23, 328–329 (1973). [CrossRef]
  11. P. K. Tien and R. Ulrich, "Theory of prism-film coupler and thin film light guides," J. Opt. Soc. Am. 60, 1325–1337 (1970). [CrossRef]
  12. R. Ulrich, "Theory of the prism-film coupler by plane wave analysis," J. Opt. Soc. Am. 60, 1337–1350 (1970). [CrossRef]
  13. D. Marcuse, "TE modes of graded index slab waveguide," IEEE J. Quantum Electron. QE-9, 1000–1006 (1973). [CrossRef]
  14. P. J. Chandler and F. L. Lama, "A new approach to the determination of planar waveguide profiles by means of a non-stationary mode index calculation," Opt. Acta 33, 127–143 (1986). [CrossRef]
  15. F. Abelès, "Recherches sur la propagation des ondes électromagnétiques sinusoïdales dans les milieux stratifiés. Application aux couches minces," Ann. Phys. 5, 596–640, 706–782 (1950).
  16. P. J. B. Clarricoats and K. B. Chan, "Electromagnetic-wave propagation along radially inhomogeneous dielectric cylinders," Electron. Lett. 6, 694–695 (1970). [CrossRef]
  17. Y. Suematsu and K. Furuya, "Propagation mode and scattering loss of a two-dimensional dielectric waveguide with gradual distribution of refractive index," IEEE Trans. Microwave Theory Tech. MTT 20, 524–531 (1972). [CrossRef]
  18. J. M. Arnold, "Stratification methods in the numerical analysis of optical-waveguide transmission parameters," Electron. Lett. 13, 660–661 (1977). [CrossRef]

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